"Hadamard transform" meaning in All languages combined

{
  "etymology_text": "Named for the French mathematician Jacques Hadamard.",
  "forms": [
    {
      "form": "Hadamard transforms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hadamard transform (plural Hadamard transforms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
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          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Signal processing",
          "orig": "en:Signal processing",
          "parents": [
            "Applied mathematics",
            "Telecommunications",
            "Mathematics",
            "Communication",
            "Technology",
            "Formal sciences",
            "All topics",
            "Sciences",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "pseudo-Hadamard transform"
        }
      ],
      "glosses": [
        "A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real)."
      ],
      "id": "en-Hadamard_transform-en-noun-mV6Z2py9",
      "links": [
        [
          "generalized",
          "generalized"
        ],
        [
          "Fourier transform",
          "Fourier transform"
        ],
        [
          "orthogonal",
          "orthogonal"
        ],
        [
          "symmetric",
          "symmetric"
        ],
        [
          "involutive",
          "involutive"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "complex number",
          "complex number"
        ]
      ],
      "raw_glosses": [
        "(signal processing) A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real)."
      ],
      "synonyms": [
        {
          "word": "Walsh transform"
        }
      ],
      "topics": [
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences",
        "signal-processing"
      ],
      "wikipedia": [
        "Hadamard transform"
      ]
    }
  ],
  "word": "Hadamard transform"
}

{
  "derived": [
    {
      "word": "pseudo-Hadamard transform"
    }
  ],
  "etymology_text": "Named for the French mathematician Jacques Hadamard.",
  "forms": [
    {
      "form": "Hadamard transforms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hadamard transform (plural Hadamard transforms)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
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        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Signal processing"
      ],
      "glosses": [
        "A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real)."
      ],
      "links": [
        [
          "generalized",
          "generalized"
        ],
        [
          "Fourier transform",
          "Fourier transform"
        ],
        [
          "orthogonal",
          "orthogonal"
        ],
        [
          "symmetric",
          "symmetric"
        ],
        [
          "involutive",
          "involutive"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "complex number",
          "complex number"
        ]
      ],
      "raw_glosses": [
        "(signal processing) A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real)."
      ],
      "synonyms": [
        {
          "word": "Walsh transform"
        }
      ],
      "topics": [
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences",
        "signal-processing"
      ],
      "wikipedia": [
        "Hadamard transform"
      ]
    }
  ],
  "word": "Hadamard transform"
}